TET_MESH_DISPLAY
Interactive Program for
Tet Mesh Wireframe Plots

TET_MESH_DISPLAY is a MATLAB program, using double precision arithmetic, which reads data defining a tet mesh and displays a wireframe plot of the nodes and edges.

The tet mesh is defined by a node file containing the coordinates of nodes, and a tetra file containing lists of node indices that make up each tetrahedron.

The tet mesh may be either linear (defined by 4 nodes) or quadratic (defined by 10 nodes).

Usage:

tet_mesh_display ( 'node_file', 'tetra_file' )

reads the tet mesh defined by node_file and tetra_file, and displays the image.

Related Programs:

CVT_TET_MESH is a FORTRAN90 executable program which uses CVT methods to compute a tet mesh in a 3D region.

FEM_BASIS_T6_DISPLAY is an executable MATLAB program which reads a quadratic triangle mesh and displays any associated basis function.

GEOMPACK is a MATLAB library which includes a routine DTRIS3 to compute the tetrahedral mesh of a set of 3D points.

MATLAB includes a routine delaunay3 which can compute the tetrahedral mesh of a set of points in 3D.

TABLE is the format used for the input files to TET_MESH_DISPLAY.

TABLE_TET_MESH is an interactive FORTRAN90 program for computing the tetrahedral mesh of a set of 3D points.

TEST_TET_MESH is a FORTRAN90 library defining a few test regions for the generation of a tet mesh.

TET_MESH is a MATLAB library of routines for computations with a tet mesh.

TET_MESH_DISPLAY_OPEN_GL is a C++ executable program which reads a tet mesh and displays the nodes and edges using OpenGL.

TET_MESH_L2Q is an executable MATLAB program which converts a linear to quadratic tet mesh.

TET_MESH_ORDER4 is a directory which contains a description and examples of a tet mesh using order 4 elements.

TET_MESH_ORDER10 is a directory which contains a description and examples of a tet mesh using order 10 elements.

TET_MESH_Q2L is a MATLAB executable program which converts a quadratic to linear tet mesh.

TET_MESH_QUALITY is a MATLAB executable program which can compute quality measures for a given tetrahedral mesh.

TET_MESH_RCM is a MATLAB executable program which takes a tet mesh and relabels the nodes to reduce the bandwidth of the corresponding adjacency matrix.

TET_MESH_REFINE is an executable MATLAB program which can refine a tet mesh.

TET_MESH_TET_NEIGHBORS is a MATLAB executable program which computes the tetrahedral adjacency information.

TRI_MESH_DISPLAY is a MATLAB program which reads data defining a triangular mesh of a 3D surface and displays it.

Reference:

1. Herbert Edelsbrunner,
   Geometry and Topology for Mesh Generation,
   Cambridge, 2001,
   ISBN: 0-521-79309-2,
   LC: QA377.E36.
2. David Field,
   Qualitative Measures for Initial Meshes,
   International Journal of Numerical Methods in Engineering,
   Volume 47, 2000, pages 887-906.
3. Barry Joe,
   GEOMPACK - a software package for the generation of meshes using geometric algorithms,
   Advances in Engineering Software,
   Volume 13, Number 5, 1991, pages 325-331.
4. Per-Olof Persson, Gilbert Strang,
   A Simple Mesh Generator in MATLAB,
   SIAM Review,
   Volume 46, Number 2, June 2004, pages 329-345.

Source code

• tet_mesh_display.m determines quality measures for a tet mesh.
• dtable_data_read.m reads data from a double precision table file.
• dtable_header_read.m reads the header from a double precision table file.
• file_column_count.m counts the number of columns in the first line of a file.
• file_row_count.m counts the number of row records in a file.
• i4mat_transpose_print.m prints an I4MAT, transposed.
• i4mat_transpose_print-some.m prints some of an I4MAT, transposed.
• itable_data_read.m reads data from an integer table file.
• itable_header_read.m reads the header from an integer table file.
• r8mat_transpose_print.m prints an R8MAT, transposed.
• r8mat_transpose_print_some.m prints some of an R8MAT, transposed.
• s_escape_tex.m de-escapes TeX escape sequences.
• s_len_trim.m returns the length of a string to the last nonblank.
• s_word_count.m counts the number of "words" in a string.
• timestamp.m prints the current YMDHMS date as a time stamp.

Tests and Examples

CUBE_ORDER4 is an order 4 tet mesh of a cube, using 8 nodes and 12 faces. Test files you may copy include:

• cube_order4_nodes.txt, the node file.
• cube_order4_tetras.txt, the tetrahedron file.
• cube_order4.out, the printed output from the program.
• cube_order4.png, a PNG image of the tet mesh.

CUBE_ORDER10 is an order 10 tet mesh of a cube, using 27 nodes and 12 faces. Test files you may copy include:

• cube_order10_nodes.txt, the node file.
• cube_order10_tetras.txt, the tetrahedron file.
• cube_order10.out, the printed output from the program.
• cube_order10.png, a PNG image of the tet mesh.

TETRA_RHOMBIC_ORDER10 is an order 10 tet mesh of a rhombic tetrahedron using 10 nodes and 4 faces. It's a tet mesh of just one tet! Test files you may copy include:

• tetra_rhombic_order10_nodes.txt, the node file.
• tetra_rhombic_order10_tetras.txt, the tetrahedron file.
• tetra_rhombic_order10.out, the printed output from the program.
• tetra_rhombic_order10.png, a PNG image of the tet mesh.

You can go up one level to the MATLAB source codes.